Question

State whether each of the following statement is true or false. Justify your answer.

(i) {2, 3, 4, 5} and {3,6} are disjoint sets.

(ii) {a, e, i, o, u} and {a,b,c,d} are disjoint sets.

(iii) {2, 6, 10, 14} and {3, 7, 11,15} are disjoint sets

(iv) {2, 6,10} and {3, 7, 11} are disjoint sets.

Answer 1

(i) Let A = {2, 3, 4, 5} and B = {3, 6}

∴ A ∩ B = {3} ∴ A ∩ B ≠ φ

∴Given sets are disjoint sets.

(ii) Let A = {a, e, i, o, u} and B = {a, b, c, d}

A∩B = {a}.

Given sets are disjoint sets.

(iii) Given sets are A = {2, 6, 10, 14} and B = {3, 7, 11, 15}.

∴ A ∩ B =φ

(iv) Given sets are disjoint sets.

Let A = {2, 6, 10} and B = {3, 7, 11}

∴ A ∩ B = φ

∴ Given sets are disjoint sets.